Chapter Seven:  Graphs and Linear Equations

Take notes on the following topics.

Algebra 1 Notes

Chapter Seven

Section 7.1

Section 7.2

Section 7.3

Section 7.4

Section 7.5

Section 7.6

Section 7.7

Section 7.8

Section 7.9

Section 7.10

 

 

 

 

 


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



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Section 7.3     Linear Equations and Their Graphs

(Examples provided by Prentice Hall)

Part I: Linear Equations

Graph the equation.

 
Example 1   2y + 6x = 4
Solve for y and find three solutions.
2y + 6x = 4
y = –3x + 2
If x = 0, y = –3(0) + 2 = 2
If x = 2, y = –3(2) + 2 = –4
If x = –1, y = –3(–1) + 2 = 5
Graph the ordered pairs (0, 2), (2, –4), and (–1, 5) and connect with a straight line.

Part II: Graphing Using Intercepts

Example 1   2x + 5y = 10
Let x = 0, then 5y = 10 and y = 2. 

This gives the y-intercept (0, 2).

Let y = 0, then 2x = 10 and x = 5. 

This gives the x-intercept (5, 0).

Graph the intercepts and connect with a straight line.

 

Part III: Graphing Horizontal and Vertical Lines

Graph each equation.

 
Example 1   y = –2
Any pair of the form (x, –2) is a solution. There is no restriction on the x value. The line is parallel to the x-axis with y-intercept –2.

Example 2 x = 3
Any pair of the form (3, y) is a solution. There is no restriction on the y value. The line is parallel to the y-axis with x-intercept 3.

 

Take class notes.

Before starting your homework, rework the examples that are illustrated in this section of your textbook and the examples that I demonstrated in class. 

Then do your homework.

Write down questions (examples or concept that you do not understand).......then.............. Ask these questions in class.